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Simplifying 7(7r + 21) = 2r Reorder the terms: 7(21 + 7r) = 2r (21 * 7 + 7r * 7) = 2r (147 + 49r) = 2r Solving 147 + 49r = 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 147 + 49r + -2r = 2r + -2r Combine like terms: 49r + -2r = 47r 147 + 47r = 2r + -2r Combine like terms: 2r + -2r = 0 147 + 47r = 0 Add '-147' to each side of the equation. 147 + -147 + 47r = 0 + -147 Combine like terms: 147 + -147 = 0 0 + 47r = 0 + -147 47r = 0 + -147 Combine like terms: 0 + -147 = -147 47r = -147 Divide each side by '47'. r = -3.127659574 Simplifying r = -3.127659574
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